Finite Group Databasebeta

← #10796336

Subgroups — #10796336

Order 768.

2230 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D3×M16C211yesmaximal, characteristic, complemented
2C22×C4×D12C211yesmaximal, characteristic
3C2×#5126C211yesmaximal, characteristic, complemented
4C2×#5126C211yesmaximal, characteristic, complemented
5C2×#5126C211yesmaximal, characteristic, complemented
6C3×#1728C211yesmaximal, characteristic, complemented
7#71527C211yesmaximal, characteristic, complemented
8#68669C214yesmaximal, complemented
9#68668C214yesmaximal, complemented
10#20898—31nomaximal, Sylow
11C23×D12C411yescharacteristic
12C23×C4×D3C2211yescharacteristic
13C23×C4×D3C2211yescharacteristic
14C22×C3×M16C2211yescharacteristic
15C22×C3×M16C2211yescharacteristic
16C22×C3×C42C2211yescharacteristic
17C22×(C2×D3)⋊C4C411yescharacteristic
18C22×(C2×D3)⋊C4C411yescharacteristic
19C22×C4⋊Dic3C411yescharacteristic
20C22×#208C2211yescharacteristic
21C22×#208C2211yescharacteristic
22C2×D3×M16—24no—
23C2×D3×M16—24no—
24C2×D3×M16—24no—
25C22×ΓL(1,𝔽25)C2212yescomplemented
26C22×D3×C8C2212yescomplemented
27C2×C4×D12—24no—
28C2×C4×D12—24no—
29C2×C4×D12C412yes—
30C2×C4×D12C412yes—
31C2×C4×D12C2212yes—
32C2×C4×D12C2212yes—
33#5126—24no—
34#5126—24no—
35#5126—24no—
36C2×(C2×D3)⋊C8C2212yescomplemented
37C2×(C2×D3)⋊C8C2214yescomplemented
38C2×(C2×D3)⋊C8C2214yescomplemented
39C2×(C2×D3)⋊C8C2212yescomplemented
40C3×#336C2214yescomplemented
41#4524C2214yescomplemented
42C23×M16—31no—
43C22×C4×D4—31no—
44C2×#407—31no—
45C2×#407—31no—
46C2×#407—31no—
47#1870—34no—
48#1869—34no—
49#1728—31no—
50#1728D311yescharacteristic, complemented
51C24×D3C2×C411yescharacteristic
52C24×D3C2×C411yescharacteristic
53C23×C3×C4C2×C411yescharacteristic
54C23×C3×C4C2×C411yescharacteristic
55C23×C3×C4C2311yescharacteristic
56C23×Dic3C2×C411yescharacteristic
57C23×Dic3C2×C411yescharacteristic
58C22×D12—24no—
59C22×D12—28no—
60C22×D12C2×C412yes—
61C22×D12C2×C412yes—
62C22×C4×D3—22no—
63C22×C4×D3—22no—
64C22×C4×D3—22no—
65C22×C4×D3—22no—
66C22×C4×D3—22no—
67C22×C4×D3—22no—
68C22×C4×D3—22no—
69C22×C4×D3—22no—
70C22×C4×D3—22no—
71C22×C4×D3—22no—
72C22×C4×D3C2×C412yes—
73C22×C4×D3C2×C411yescharacteristic
74C22×C4×D3C2×C411yescharacteristic
75C22×C4×D3D414yes—
76C22×C4×D3D414yes—
77C22×C4×D3C2312yes—
78C22×C4×D3C2311yescharacteristic
79C22×C4×D3C2311yescharacteristic
80C2×C3×M16—22no—
81C2×C3×M16—22no—
82C2×C3×M16—22no—
83C2×C3×M16—22no—
84C2×C3×M16—22no—
85C2×C3×M16D414yescomplemented
86C22×C3×C8C2312yes—
87C22×C3×C8C2312yes—
88C2×C3×C42—22no—
89C2×C3×C42—22no—
90C2×C3×C42C2×C412yes—
91C2×C3×C42C2312yes—
92C2×(C2×D3)⋊C4—24no—
93C2×(C2×D3)⋊C4—24no—
94C2×(C2×D3)⋊C4C2×C412yes—
95C2×(C2×D3)⋊C4C2×C412yes—
96C2×(C2×D3)⋊C4C2×C412yes—
97C2×(C2×D3)⋊C4C2×C412yes—
98C2×C4⋊Dic3—24no—
99C2×C4⋊Dic3C2×C412yes—
100C2×C4⋊Dic3C2×C412yes—
101C2×#208—22no—
102C2×#208—22no—
103C2×#208—22no—
104C2×#208—22no—
105C2×#208—22no—
106C2×#208D414yescomplemented
107C22×C3⋊C8C2312yes—
108C22×C3⋊C8C2312yes—
109D3×M16—232no—
110C2×ΓL(1,𝔽25)—24no—
111C2×ΓL(1,𝔽25)—24no—
112C2×ΓL(1,𝔽25)—24no—
113C2×D3×C8—24no—
114C2×D3×C8—24no—
115C2×D3×C8—24no—
116C4×D12—28no—
117C4×D12—28no—
118C4×D12—24no—
119C4×D12—24no—
120C4×D12—24no—
121C4×D12—24no—
122(C2×D3)⋊C8—24no—
123(C2×D3)⋊C8—24no—
124(C2×D3)⋊C8—28no—
125(C2×D3)⋊C8—28no—
126C23×D4—31no—
127C24×C4—31no—
128C24×C4—31no—
129C22×M16—31no—
130C22×M16—31no—
131C22×M16—32no—
132C22×M16—64no—
133C22×M16—64no—
134C22×M16—64no—
135C22×M16C2×D311yescharacteristic
136C22×M16C2×D311yescharacteristic
137C23×C8—32no—
138C2×C4×D4—32no—
139C2×C4×D4—32no—
140C2×C4×D4—32no—
141C2×C4×D4—32no—
142C2×C4×D4—64no—
143C2×C4×D4—64no—
144C22×C4⋊C4—31no—
145C22×C22⋊C4—31no—
146C22×C22⋊C4—31no—
147C22×C42C2×D311yescharacteristic
148#407—64no—
149#407—64no—
150#407—64no—
151C2×C22⋊C8—32no—
152C2×C22⋊C8—34no—
153C2×C22⋊C8—34no—
154C2×C22⋊C8—32no—
155#336—34no—
156#336C2×D314yescomplemented
157C24×C3C22×C411yescharacteristic
158C23×D3—22no—
159C23×D3—22no—
160C23×D3—22no—
161C23×D3—24no—
162C23×D3—24no—
163C23×D3—22no—
164C23×D3—22no—
165C23×D3—42no—
166C23×D3—42no—
167C23×D3C22⋊C414yes—
168C23×D3C22×C411yescharacteristic
169C23×D3C22×C412yes—
170C23×D3C22×C411yescharacteristic
171C22×C3×C4—22no—
172C22×C3×C4—24no—
173C22×C3×C4—22no—
174C22×C3×C4—42no—
175C22×C3×C4C22×C412yes—
176C22×C3×C4C22×C412yes—
177C22×C3×C4C22×C411yescharacteristic
178C22×C3×C4C2×D412yes—
179C22×C3×C4C2×D412yes—
180C22×C3×C4C2×D412yes—
181C22×C3×C4C2×D412yes—
182C22×C3×C4#4112yes—
183C22×C3×C4#4112yes—
184C22×C3×C4C2411yescharacteristic
185C22×Dic3—22no—
186C22×Dic3—22no—
187C22×Dic3—22no—
188C22×Dic3—22no—
189C22×Dic3—22no—
190C22×Dic3C22⋊C414yes—
191C22×Dic3C22×C412yes—
192C22×Dic3C22×C411yescharacteristic
193C22×Dic3C22×C411yescharacteristic
194C2×D12—232no—
195C2×D12—24no—
196C2×D12—24no—
197C2×D12—24no—
198C2×D12—24no—
199C2×D12—24no—
200C2×D12M1618yescomplemented
201C2×C4×D3—22no—
202C2×C4×D3—22no—
203C2×C4×D3—22no—
204C2×C4×D3—22no—
205C2×C4×D3—28no—
206C2×C4×D3—28no—
207C2×C4×D3—28no—
208C2×C4×D3—28no—
209C2×C4×D3—21no—
210C2×C4×D3—21no—
211C2×C4×D3—21no—
212C2×C4×D3—21no—
213C2×C4×D3—21no—
214C2×C4×D3—21no—
215C2×C4×D3—21no—
216C2×C4×D3—21no—
217C2×C4×D3—24no—
218C2×C4×D3—24no—
219C2×C4×D3—24no—
220C2×C4×D3—22no—
221C2×C4×D3—22no—
222C2×C4×D3—22no—
223C2×C4×D3—22no—
224C2×C4×D3—22no—
225C2×C4×D3—22no—
226C2×C4×D3—44no—
227C2×C4×D3—44no—
228C2×C4×D3—44no—
229C2×C4×D3—44no—
230C2×C4×D3C22⋊C414yes—
231C2×C4×D3C22⋊C414yes—
232C2×C4×D3C2×D412yes—
233C2×C4×D3C2×D412yes—
234C2×C4×D3C2×D412yes—
235C2×C4×D3C2×D412yes—
236C3×M16—28no—
237C3×M16—44no—
238C2×C3×C8—22no—
239C2×C3×C8—22no—
240C2×C3×C8—22no—
241C2×C3×C8—22no—
242C2×C3×C8—22no—
243C2×C3×C8C2×D414yescomplemented
244C3×C42—24no—
245C3×C42—22no—
246C3×C42—22no—
247(C2×D3)⋊C4—24no—
248(C2×D3)⋊C4—24no—
249(C2×D3)⋊C4—24no—
250(C2×D3)⋊C4—24no—
251C4⋊Dic3—24no—
252C4⋊Dic3—24no—
253#208—28no—
254#208—44no—
255C2×C3⋊C8—22no—
256C2×C3⋊C8—22no—
257C2×C3⋊C8—22no—
258C2×C3⋊C8—22no—
259C2×C3⋊C8—22no—
260C2×C3⋊C8C2×D414yescomplemented
261ΓL(1,𝔽25)—216no—
262D3×C8—216no—
263C25—31no—
264C25—31no—
265C22×D4—32no—
266C22×D4—32no—
267C22×D4—68no—
268C22×D4—64no—
269C23×C4—31no—
270C23×C4—31no—
271C23×C4—31no—
272C23×C4—34no—
273C23×C4—34no—
274C23×C4—31no—
275C23×C4—31no—
276C23×C4—31no—
277C23×C4—32no—
278C23×C4—32no—
279C23×C4—62no—
280C23×C4—62no—
281C23×C4—62no—
282C23×C4—62no—
283C23×C4—62no—
284C23×C4—62no—
285C23×C4—62no—
286C23×C4—62no—
287C23×C4—62no—
288C23×C4—62no—
289C23×C4C4×D311yescharacteristic
290C23×C4C4×D311yescharacteristic
291C23×C4C22×D311yescharacteristic
292C2×M16—22no—
293C2×M16—22no—
294C2×M16—22no—
295C2×M16—22no—
296C2×M16—22no—
297C2×M16—34no—
298C2×M16—64no—
299C2×M16—64no—
300C2×M16—632no—
301C2×M16—62no—
302C2×M16—62no—
303C2×M16—62no—
304C2×M16—62no—
305C2×M16—62no—
306C2×M16—64no—
307C2×M16D1214yescomplemented
308C22×C8—32no—
309C22×C8—32no—
310C22×C8—64no—
311C22×C8—64no—
312C22×C8—64no—
313C22×C8C22×D312yes—
314C22×C8C22×D312yes—
315C4×D4—68no—
316C4×D4—68no—
317C4×D4—64no—
318C4×D4—64no—
319C4×D4—64no—
320C4×D4—64no—
321C2×C4⋊C4—32no—
322C2×C4⋊C4—32no—
323C2×C4⋊C4—64no—
324C2×C22⋊C4—32no—
325C2×C22⋊C4—32no—
326C2×C22⋊C4—32no—
327C2×C22⋊C4—32no—
328C2×C22⋊C4—64no—
329C2×C22⋊C4—64no—
330C2×C42—22no—
331C2×C42—22no—
332C2×C42C4×D312yes—
333C2×C42C22×D312yes—
334C22⋊C8—68no—
335C22⋊C8—64no—
336C22⋊C8—64no—
337C22⋊C8—68no—
338C23×C3—22no—
339C23×C3—22no—
340C23×C3C2×C22⋊C412yes—
341C23×C3C4×D412yes—
342C23×C3C4×D412yes—
343C23×C3C23×C411yescharacteristic
344C22×D3—21no—
345C22×D3—21no—
346C22×D3—22no—
347C22×D3—28no—
348C22×D3—22no—
349C22×D3—22no—
350C22×D3—21no—
351C22×D3—22no—
352C22×D3—21no—
353C22×D3—22no—
354C22×D3—22no—
355C22×D3—22no—
356C22×D3—22no—
357C22×D3—22no—
358C22×D3—28no—
359C22×D3—28no—
360C22×D3—44no—
361C22×D3—48no—
362C22×D3—48no—
363C22×D3—48no—
364C22×D3—48no—
365C22×D3—44no—
366C22×D3—44no—
367C22×D3C2×C22⋊C412yes—
368C22×D3C2×C22⋊C412yes—
369C22×D3C2×M1614yes—
370C22×D3C2×M1614yescomplemented
371C2×C3×C4—28no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—24no—
376C2×C3×C4—44no—
377C2×C3×C4C2×C22⋊C412yes—
378C2×C3×C4C4×D412yes—
379C2×C3×C4C4×D412yes—
380C2×C3×C4#12014yes—
381C2×C3×C4#12114yes—
382C2×C3×C4#12114yes—
383C2×C3×C4#12314yes—
384C2×C3×C4C2×M1614yescomplemented
385C2×C3×C4C22×D411yescharacteristic
386C2×C3×C4C22×D411yescharacteristic
387C2×C3×C4C22×D411yescharacteristic
388C2×C3×C4C22×D411yescharacteristic
389C2×C3×C4C2×#4111yescharacteristic
390C2×C3×C4C2×#4111yescharacteristic
391C2×Dic3—21no—
392C2×Dic3—21no—
393C2×Dic3—21no—
394C2×Dic3—21no—
395C2×Dic3—28no—
396C2×Dic3—22no—
397C2×Dic3—22no—
398C2×Dic3—22no—
399C2×Dic3—44no—
400C2×Dic3C2×C22⋊C412yes—
401C2×Dic3C2×C22⋊C412yes—
402D12—216no—
403D12—216no—
404C4×D3—22no—
405C4×D3—22no—
406C4×D3—22no—
407C4×D3—22no—
408C4×D3—22no—
409C4×D3—22no—
410C4×D3—22no—
411C4×D3—22no—
412C4×D3—28no—
413C4×D3—28no—
414C4×D3—42no—
415C4×D3—42no—
416C4×D3—42no—
417C4×D3—42no—
418C4×D3—48no—
419C3×C8—24no—
420C3×C8—42no—
421C3⋊C8—24no—
422C3⋊C8—42no—
423C24—31no—
424C24—31no—
425C24—32no—
426C24—34no—
427C24—64no—
428C24—64no—
429C24—62no—
430C24—62no—
431C24—62no—
432C24—62no—
433C24—62no—
434C24—122no—
435C24—122no—
436C24C2×C4×D311yescharacteristic
437C2×D4—38no—
438C2×D4—64no—
439C2×D4—64no—
440C2×D4—64no—
441C2×D4—64no—
442C2×D4—632no—
443C2×D4—64no—
444C22×C4—22no—
445C22×C4—24no—
446C22×C4—22no—
447C22×C4—34no—
448C22×C4—31no—
449C22×C4—31no—
450C22×C4—34no—
451C22×C4—34no—
452C22×C4—32no—
453C22×C4—32no—
454C22×C4—32no—
455C22×C4—32no—
456C22×C4—32no—
457C22×C4—42no—
458C22×C4—62no—
459C22×C4—62no—
460C22×C4—62no—
461C22×C4—62no—
462C22×C4—68no—
463C22×C4—68no—
464C22×C4—62no—
465C22×C4—62no—
466C22×C4—68no—
467C22×C4—68no—
468C22×C4—61no—
469C22×C4—61no—
470C22×C4—61no—
471C22×C4—61no—
472C22×C4—61no—
473C22×C4—61no—
474C22×C4—61no—
475C22×C4—61no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—64no—
480C22×C4—64no—
481C22×C4—64no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—124no—
489C22×C4—124no—
490C22×C4—124no—
491C22×C4—124no—
492C22×C4C2×C4×D312yes—
493C22×C4C2×C4×D312yes—
494C22×C4C2×C4×D311yescharacteristic
495C22×C4C2×D1212yes—
496C22×C4#23512yes—
497C22×C4D3×D412yes—
498C22×C4D3×D412yes—
499C22×C4D3×D412yes—
500C22×C4#23912yes—
501C22×C4C23×D311yescharacteristic
502M16—28no—
503M16—44no—
504M16—616no—
505M16—68no—
506M16—124no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—34no—
513C2×C8—616no—
514C2×C8—62no—
515C2×C8—62no—
516C2×C8—62no—
517C2×C8—62no—
518C2×C8—62no—
519C2×C8C2×D1214yescomplemented
520C4⋊C4—64no—
521C4⋊C4—64no—
522C22⋊C4—64no—
523C22⋊C4—64no—
524C22⋊C4—64no—
525C22⋊C4—64no—
526C42—24no—
527C42—22no—
528C42—22no—
529C22×C3—22no—
530C22×C3—22no—
531C22×C3—24no—
532C22×C3—24no—
533C22×C3#38614yes—
534C22×C3C22×C22⋊C411yescharacteristic
535C22×C3C2×C4×D411yescharacteristic
536C22×C3C2×C4×D411yescharacteristic
537C22×C3C22×M1612yes—
538C22×C3#56812yes—
539C2×D3—22no—
540C2×D3—24no—
541C2×D3—24no—
542C2×D3—22no—
543C2×D3—22no—
544C2×D3—24no—
545C2×D3—22no—
546C2×D3—24no—
547C2×D3—24no—
548C2×D3—22no—
549C2×D3—416no—
550C2×D3—416no—
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—42no—
554C2×D3—42no—
555C2×D3—42no—
556C2×D3—42no—
557C2×D3#40714yescomplemented
558C3×C4—24no—
559C3×C4—42no—
560C3×C4#38614yes—
561C3×C4C2×#12011yescharacteristic
562C3×C4C2×#12111yescharacteristic
563C3×C4C2×#12111yescharacteristic
564C3×C4C2×#12311yescharacteristic
565Dic3—22no—
566Dic3—22no—
567Dic3—42no—
568C23—22no—
569C23—22no—
570C23—32no—
571C23—34no—
572C23—32no—
573C23—34no—
574C23—68no—
575C23—68no—
576C23—61no—
577C23—62no—
578C23—61no—
579C23—68no—
580C23—61no—
581C23—62no—
582C23—62no—
583C23—62no—
584C23—62no—
585C23—62no—
586C23—62no—
587C23—62no—
588C23—61no—
589C23—62no—
590C23—124no—
591C23—128no—
592C23—128no—
593C23—128no—
594C23—128no—
595C23—124no—
596C23—124no—
597C23C4×D1212yes—
598C23D3×C22⋊C412yes—
599C23#89312yes—
600C23C22×C4×D311yescharacteristic
601D4—616no—
602D4—616no—
603C2×C4—28no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—32no—
609C2×C4—32no—
610C2×C4—44no—
611C2×C4—68no—
612C2×C4—61no—
613C2×C4—61no—
614C2×C4—61no—
615C2×C4—61no—
616C2×C4—68no—
617C2×C4—68no—
618C2×C4—62no—
619C2×C4—62no—
620C2×C4—62no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—124no—
630C2×C4—128no—
631C2×C4—122no—
632C2×C4—122no—
633C2×C4—122no—
634C2×C4—122no—
635C2×C4C4×D1212yes—
636C2×C4D3×C22⋊C412yes—
637C2×C4#88214yes—
638C2×C4#88414yes—
639C2×C4#89312yes—
640C2×C4#89414yes—
641C2×C4#89514yes—
642C2×C4D3×M1614yescomplemented
643C2×C4C22×D1211yescharacteristic
644C2×C4C2×#23511yescharacteristic
645C2×C4C2×D3×D411yescharacteristic
646C2×C4C2×D3×D411yescharacteristic
647C2×C4C2×D3×D411yescharacteristic
648C2×C4C2×#23911yescharacteristic
649C8—24no—
650C8—42no—
651C8—64no—
652C8—122no—
653C2×C3—24no—
654C2×C3C2×#38611yescharacteristic
655C2×C3C2×#40711yescharacteristic
656C2×C3#287911yescharacteristic
657C2×C3D4×M1612yes—
658C2×C3D4×M1612yes—
659D3—24no—
660D3—42no—
661D3—44no—
662C22—22no—
663C22—22no—
664C22—24no—
665C22—24no—
666C22—34no—
667C22—62no—
668C22—62no—
669C22—64no—
670C22—64no—
671C22—64no—
672C22—62no—
673C22—62no—
674C22—62no—
675C22—64no—
676C22—64no—
677C22—1216no—
678C22—1216no—
679C22—122no—
680C22—122no—
681C22—122no—
682C22—122no—
683C22—122no—
684C22—122no—
685C22#466514yes—
686C22C2×C4×D1211yescharacteristic
687C22C2×D3×C22⋊C411yescharacteristic
688C22C2×#89311yescharacteristic
689C22C2×D3×M1612yes—
690C22#574512yes—
691C4—24no—
692C4—42no—
693C4—62no—
694C4—62no—
695C4—122no—
696C4#466514yes—
697C4C2×#88211yescharacteristic
698C4C2×#88411yescharacteristic
699C4C2×#89411yescharacteristic
700C4C2×#89511yescharacteristic
701C3#2089811yescharacteristic, complemented, Sylow
702C2—24no—
703C2—64no—
704C2—122no—
705C2—124no—
706C2C2×#466511yescharacteristic
707C2M16×D1212yes—
708C2D3×#40711yescharacteristic
709C2#7863011yescharacteristic
710C2#7904312yes—
subgroupG/H
center, FrattiniC22×C4C23×D3
commutator, socleC23×C3C23×C4
FittingC3×#1728C2
prime radicalC23×D12C4
cosocleC22×C3×C4C24
hypercenter#1728D3
hypocenterC3#20898
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ #1728

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C22×D3×M16C2semidirect
3. C2×#5126C2semidirect
4. C2×#5126C2semidirect
5. C2×#5126C2semidirect
6. C3×#1728C2semidirect
7. #71527C2semidirect
8. #68669C2semidirect
9. #68668C2semidirect
25. C22×ΓL(1,𝔽25)C22semidirect
26. C22×D3×C8C22semidirect
36. C2×(C2×D3)⋊C8C22semidirect
37. C2×(C2×D3)⋊C8C22semidirect
38. C2×(C2×D3)⋊C8C22semidirect
39. C2×(C2×D3)⋊C8C22semidirect
40. C3×#336C22semidirect
41. #4524C22semidirect
50. #1728D3semidirect
85. C2×C3×M16D4semidirect
106. C2×#208D4semidirect
156. #336C2×D3semidirect
200. C2×D12M16semidirect
243. C2×C3×C8C2×D4semidirect
260. C2×C3⋊C8C2×D4semidirect
307. C2×M16D12semidirect
370. C22×D3C2×M16semidirect
384. C2×C3×C4C2×M16semidirect
519. C2×C8C2×D12semidirect
557. C2×D3#407semidirect
642. C2×C4D3×M16semidirect
701. C3#20898semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×D3×M162
C22×C4×D122
C2×#51262
C3×#17282
#715272
#686692
#686682
#208983